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Finding the Fourth Proportional to 233,225.40, 349,838.10 and 213,871.80

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Solution

The fourth proportional to 233,225.40, 349,838.10 and 213,871.80 is: 320,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,225.40 : 349,838.10 = 213,871.80 : x
  2. Step 2: Convert to fraction form
    233,225.40/349,838.10 = 213,871.80/x
  3. Step 3: Cross multiply
    233,225.40x = 349,838.10 × 213,871.80
  4. Step 4: Simplify right side
    233,225.40x = 74,820,504,155.58
  5. Step 5: Solve for x
    x = 74,820,504,155.58/233,225.40
  6. Step 6: Final answer
    x = 320,807.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.